FIGURE 26.

FIND THE DIMENSION OF "x."

SOLUTION

Step 1.

Inspect the problem to determine which sides or angles are known.

According to figure 26, view A, there are two 32,, 30' angles.

The diameter of the circle (plug) is 1 inch.

Step 2.

Generally, the first distance which must be found is that from

the center of the plug to the vertex of the angle.

Step 3.

To do this, it is necessary to find a

right triangle which

includes this distance.

First, find the

point of tangency on

both sides of the slot by constructing a

radius line at right

angles to the side of the slot, as shown in

figure 26, view B.

Step 4.

Then construct ABCD as shown in figure 26, view C.

The center

line of the slot bisects angle D, and divides the figure into two

equal right triangles ABD